6 papers
Conormal problem for a kind of nonlinear elliptic equations
A. F. Buscetto, R. Rescigno, L. G. Softova +1
We study the global boundedness of weak solutions to a class of nonlinear elliptic equations in bounded Lipschitz domains, subject to conormal boundary conditions. Using techniques…
Interior a priori estimate for higher order elliptic systems in Orlicz spaces
Amiran Gogatishvili, Pia Salerno, Lubomira Softova
We investigate singular integral operators with variable Calderón--Zygmund kernels and their commutators with functions on Orlicz spaces. After revisiting the classical $L^p…
Nonlocal problem for Laplace equation in Bochner spaces
Bilal Bilalov, Sabina Sadigova, Pia Salerno +1
We study the Laplace equation posed in the unbounded rectangular domain with , and subject to nonlocal boundary conditions on in…
Non-homogeneous conormal derivative problem for quasilinear elliptic equations with Morrey data
Dian K. Palagachev, Lubomira G. Softova
A non-homogeneous conormal derivative problem is considered for quasilinear divergence form elliptic equations modeled on the -Laplacian operator. The nonlinear terms are given…
Approximation of the Solutions to Quasilinear Parabolic Problems with Perturbed Coefficients
Rosamaria Rescigno, Lubomira Softova
We consider the Cauchy-Dirichlet problem for second-order quasilinear non-divergence form operators of parabolic type. The data are Cara\-thé\-o\-dory functions, and the principal…
Global solvability of the Laplace equation in weighted Sobolev spaces
Bilal T. Bilalov, Natavan P. Nasibova, Lubomira G. Softova +1
We consider a non-local boundary value problem for the Laplace equation in unbounded studding the weak and strong solvability of that problem in the framework of the weighted Sobol…